A beam metastructure for semi-active vibration control via piezoelectric resonators

Abstract

This study overcomes a primary limitation of conventional mechanical metastructures, their fixed-frequency anti-vibration performance, which poses a critical barrier to adaptive and real-time vibration control. The key novelty of the current work lies in the development of an in-house finite-element framework for a beam structure employing multiple piezoelectric local resonators shunted with resistive-inductive electrical circuits. This enables the synthesis of frequency-tunable attenuation bands via electrical impedance modulation, bypassing the need for mechanical redesign. Through a meticulous parameter investigation into the resistance, inductance, and capacitance effect, it is demonstrated that spatial attenuation bands, dual stopbands, and multiple antiresonances are presented for each case in the beam’s spatial-frequency response. Furthermore, through a force location study, it is evinced that while the excitation location alters, the multi-resonator array still provides significant spatial attenuation. These results clearly establish that the employment of multiple piezoelectric resonators shunted with inductance and resistance offer a highly adaptable solution for broad multi-modal suppression of bending vibrations in beam structures.